Home / 727.25-1,090.71-337.23

Finding the Fourth Proportional to 727.25, 1,090.71 and 337.23

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Solution

The fourth proportional to 727.25, 1,090.71 and 337.23 is: 505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.25 : 1,090.71 = 337.23 : x
  2. Step 2: Convert to fraction form
    727.25/1,090.71 = 337.23/x
  3. Step 3: Cross multiply
    727.25x = 1,090.71 × 337.23
  4. Step 4: Simplify right side
    727.25x = 367,820.13
  5. Step 5: Solve for x
    x = 367,820.13/727.25
  6. Step 6: Final answer
    x = 505.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.